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Finding the Fourth Proportional to 6,486.64, 9,726.46 and 2,043.46

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Solution

The fourth proportional to 6,486.64, 9,726.46 and 2,043.46 is: 3,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.64 : 9,726.46 = 2,043.46 : x
  2. Step 2: Convert to fraction form
    6,486.64/9,726.46 = 2,043.46/x
  3. Step 3: Cross multiply
    6,486.64x = 9,726.46 × 2,043.46
  4. Step 4: Simplify right side
    6,486.64x = 19,875,631.95
  5. Step 5: Solve for x
    x = 19,875,631.95/6,486.64
  6. Step 6: Final answer
    x = 3,064.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.